Aaron Rodgers is still takin' care of business during the Packers' bye week ... popping up at a renowned sports doctors office in Los Angeles, where he appeared to stay for nearly 3 hrs.

The Green Bay quarterback arrived at the Kerlan Jobe offices Friday morning ... where he was greeted by Dr. Neal ElAttrache in the parking lot.

FYI, Kerlan Jobe -- part of Cedars-Sinai -- is regarded as one of the leading sports medicine facilities in the world, and Dr. ElAttrache, one of the best docs.